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Finding the Fourth Proportional to 36,064.60, 49,768.22 and 20,149.16

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Solution

The fourth proportional to 36,064.60, 49,768.22 and 20,149.16 is: 27,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064.60 : 49,768.22 = 20,149.16 : x
  2. Step 2: Convert to fraction form
    36,064.60/49,768.22 = 20,149.16/x
  3. Step 3: Cross multiply
    36,064.60x = 49,768.22 × 20,149.16
  4. Step 4: Simplify right side
    36,064.60x = 1,002,788,002.49
  5. Step 5: Solve for x
    x = 1,002,788,002.49/36,064.60
  6. Step 6: Final answer
    x = 27,805.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.